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NeX [460]
3 years ago
12

Select the graph for the solution of the open sentence. Click until the correct graph appears.. . |x| + 1 < 3. . . how do i f

igure this out??
Mathematics
1 answer:
dexar [7]3 years ago
8 0
I don´t have a picture of your graph but I have drawn it ( in the attachment ).
If we evaluate this inequality:
|x| + 1 < 3
|x| < 2
Answer: x  ∈ ( -2, 2 ).
Download docx
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How do you do this question?
velikii [3]

Answer:

∫₂³ √(1 + 64y²) dy

Step-by-step explanation:

∫ₐᵇ f(y) dy is an integral with respect to y, so the limits of integration are going to be the y coordinates.  a = 2 and b = 3.

Arc length ds is:

ds = √(1 + (dy/dx)²) dx

ds = √(1 + (dx/dy)²) dy

Since we want the integral to be in terms of dy, we need to use the second one.

ds = √(1 + (8y)²) dy

ds = √(1 + 64y²) dy

Therefore, the arc length is:

∫₂³ √(1 + 64y²) dy

3 0
3 years ago
A city bus drives 160 miles in 8 hours. What is the average rate of speed in miles per hour?
faust18 [17]

that would be 20 miles per hour. If in 8 hours you're going 160, then divide 160 by 8 and you'd get 20. Each hour is 20 miles. or 8 times 20 is 160. Your answer is 20 miles per hour

4 0
3 years ago
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race
icang [17]

Answer:

great! what else?

8 0
3 years ago
Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y&lt;35x−1.5 y&gt;35x−1.5
Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

\boxed{ \mathsf{ \red{y - y_{1} =  \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})  }}}

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)

other point is <u>(2.5, 0)</u> and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

\mathsf{\implies y - ( - 1.5) =  \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

\mathsf{\implies (y  +  1.5) =  \frac{0  +  1.5}{2.5  } (x  )}

\mathsf{\implies y  +  1.5 =  \frac{ 1.5}{2.5  } x  }

\mathsf{\implies y  +  1.5 =  \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x  }

\mathsf{\implies y  +  1.5 =  \frac{ 3}{5 } x  }

multiplying both sides by 5

\mathsf{5y + 7.5 = 3x}

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

so

replacing x and y with 0

\mathsf{\implies5(0) + 7.5 = 3(0)}

\mathsf{\implies0 + 7.5 = 0}

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

\mathsf{\implies7.5 > 0}

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

\mathsf{5y + 7.5 > 3x}

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

<h3>y > 0.6x - 1.5 </h3>

that is the last option

5 0
3 years ago
The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object st
sergiy2304 [10]

Answer:

I think it is b

Step-by-step explanation:

7 0
3 years ago
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